4253724800 has 96 divisors (see below), whose sum is σ = 11316450180. Its totient is φ = 1570590720.

The previous prime is 4253724779. The next prime is 4253724803. The reversal of 4253724800 is 84273524.

It can be written as a sum of positive squares in 6 ways, for example, as 1803870784 + 2449854016 = 42472^2 + 49496^2 .

It is not an unprimeable number, because it can be changed into a prime (4253724803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9527 + ... + 92726.

Almost surely, 2^4253724800 is an apocalyptic number.

4253724800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658225090).

4253724800 is an abundant number, since it is smaller than the sum of its proper divisors (7062725380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4253724800 is a wasteful number, since it uses less digits than its factorization.

4253724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102290 (or 102273 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 4253724800 is about 65220.5857072750. The cubic root of 4253724800 is about 1620.2789744628.

It can be divided in two parts, 4253724 and 800, that added together give a palindrome (4254524).

The spelling of 4253724800 in words is "four billion, two hundred fifty-three million, seven hundred twenty-four thousand, eight hundred".